MathDB

SMT 2022 Geometry #3

Source:

April 1, 2023

Problem Statement

\triangle ABC

has side lengths

13

,

14

, and

15

. Let the feet of the altitudes from

A

,

B

, and

C

be

D

,

E

, and

F

, respectively. The circumcircle of

\triangle DEF

intersects

AD

,

BE

, and

CF

at

I

,

J

, and

K

respectively. What is the area of

\triangle IJK

?

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